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Finding the Fourth Proportional to 920.34, 1,270.07 and 506.34

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Solution

The fourth proportional to 920.34, 1,270.07 and 506.34 is: 698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.34 : 1,270.07 = 506.34 : x
  2. Step 2: Convert to fraction form
    920.34/1,270.07 = 506.34/x
  3. Step 3: Cross multiply
    920.34x = 1,270.07 × 506.34
  4. Step 4: Simplify right side
    920.34x = 643,094.22
  5. Step 5: Solve for x
    x = 643,094.22/920.34
  6. Step 6: Final answer
    x = 698.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.